1921903632 has 160 divisors (see below), whose sum is σ = 6051576960. Its totient is φ = 579156480.

The previous prime is 1921903597. The next prime is 1921903639. The reversal of 1921903632 is 2363091291.

It is a happy number.

1921903632 is a `hidden beast` number, since 1 + 9 + 2 + 19 + 0 + 3 + 632 = 666.

It is a super-5 number, since 5×1921903632⁵ (a number of 48 digits) contains 55555 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1921903639) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 935118 + ... + 937170.

It is an arithmetic number, because the mean of its divisors is an integer number (37822356).

Almost surely, 2^1921903632 is an apocalyptic number.

1921903632 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1921903632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3025788480).

1921903632 is an abundant number, since it is smaller than the sum of its proper divisors (4129673328).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1921903632 is a wasteful number, since it uses less digits than its factorization.

1921903632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2278 (or 2266 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The square root of 1921903632 is about 43839.5213477520. The cubic root of 1921903632 is about 1243.3036324814.

The spelling of 1921903632 in words is "one billion, nine hundred twenty-one million, nine hundred three thousand, six hundred thirty-two".